English

Holomorphic Factorization of Vector Bundle Automorphisms

Complex Variables 2023-05-09 v1 K-Theory and Homology

Abstract

We prove that any null-homotopic special holomorphic vector bundle automorphisms of a rank 2 vector bundle E over a Stein space X can be written as a finite product of unipotent holomorphic vector bundle automorphism as well as a finite product of exponentials.

Keywords

Cite

@article{arxiv.2305.04350,
  title  = {Holomorphic Factorization of Vector Bundle Automorphisms},
  author = {George Ionita and Frank Kutzschebauch},
  journal= {arXiv preprint arXiv:2305.04350},
  year   = {2023}
}
R2 v1 2026-06-28T10:28:08.516Z